Palindromic eigenvalue problems in applications

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Abstract

We list a number of practical applications of linear and quadratic palindromic eigenvalue problems. This chapter focuses on two applications which are discussed in detail. These are the vibration analysis of rail tracks and the regularization of the solvent equation. Special purpose algorithms are introduced and numerical examples are presented.

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Lin, W. W., & Schröder, C. (2015). Palindromic eigenvalue problems in applications. In Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann (pp. 45–65). Springer International Publishing. https://doi.org/10.1007/978-3-319-15260-8_3

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